A bounce game played on a table or other surface includes a series of game pieces, each with a rounded bottom section with rounded surface downward, of a high-bounce rubber material. Secured to the top of the bottom section is a top section of very lightweight material. In a preferred form the bottom section of the game piece comprises at least about seventy percent of the total weight of the game piece. The game piece when placed on a surface will wobble but not topple over. Players toss a game piece down against the table such that the game piece bounces forward, with the object being to land it in a container such as a drinking glass on the table. To win a game is to be most successful at bouncing game pieces into the glass.